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Computing the Discrete Compactness of Orthogonal Pseudo-Polytopes via Their nD-EVM Representation
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-07
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
This work is devoted to present a methodology for the computation of Discrete Compactness in n-dimensional orthogonal pseudo-polytopes.
The proposed procedures take in account compactness' definitions originally presented for the 2D and 3D cases and extend them directly for considering the nD case.
There are introduced efficient algorithms for computing discrete compactness which are based on an orthogonal polytopes representation scheme known as the Extreme Vertices Model in the n-Dimensional Space (nD-EVM).
It will be shown the potential of the application of Discrete Compactness in higher-dimensional contexts by applying it, through EVM-based algorithms, in the classification of video sequences, associated to the monitoring of a volcano's activity, which are expressed as 4D orthogonal polytopes in the space-color-time geometry.
American Psychological Association (APA)
Pérez-Aguila, Ricardo. 2010. Computing the Discrete Compactness of Orthogonal Pseudo-Polytopes via Their nD-EVM Representation. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-28.
https://search.emarefa.net/detail/BIM-484050
Modern Language Association (MLA)
Pérez-Aguila, Ricardo. Computing the Discrete Compactness of Orthogonal Pseudo-Polytopes via Their nD-EVM Representation. Mathematical Problems in Engineering No. 2010 (2010), pp.1-28.
https://search.emarefa.net/detail/BIM-484050
American Medical Association (AMA)
Pérez-Aguila, Ricardo. Computing the Discrete Compactness of Orthogonal Pseudo-Polytopes via Their nD-EVM Representation. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-28.
https://search.emarefa.net/detail/BIM-484050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484050